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Computational modeling is vital for the fundamental understanding of processes in Li-ion batteries. However, capturing nanoscopic to mesoscopic phase thermodynamics and kinetics in the solid electrode particles embedded in realistic…

The mathematical P2D model is a system of strongly coupled nonlinear parabolic-elliptic equations that describes the electrodynamics of lithium-ion batteries. In this paper, we present the numerical analysis of a finite element-implicit…

Numerical Analysis · Mathematics 2021-09-23 Rodolfo Bermejo

We present a coupled continuum formulation for the electrostatic, chemical, thermal and mechanical processes in battery materials. Our treatment applies on the macroscopic scale, at which electrodes can be modelled as porous materials made…

Chemical Physics · Physics 2017-07-25 Zhenlin Wang , Jason B. Siegel , Krishna Garikipati

All-solid-state batteries hold great promise for electric vehicle applications due to their enhanced safety and higher energy density. However, further performance optimization requires a deeper understanding of their degradation…

Describing Li-ion battery positive electrodes in terms of distinct transition metal or oxygen redox regimes can lead to confusion in understanding metal-ligand hybridisation, oxygen dimerisation, and degradation. There is a pressing need to…

Room temperature ionic liquids are attractive to numerous applications and particularly, to renewable energy devices. As solvent free electrolytes, they demonstrate a paramount connection between the material morphology and Coulombic…

Chemical Physics · Physics 2016-03-15 Nir Gavish , Arik Yochelis

Polymer electrolytes are intensely investigated for use as solid electrolytes in next generation lithium-ion and lithium-metal batteries. However, little is known about the structural and dynamical properties of polymer electrolytes close…

Soft Condensed Matter · Physics 2021-12-02 Andreas Thum , Diddo Diddens , Andreas Heuer

We present the first application of phase field modeling to electrochemistry. A free energy functional that includes the electrostatic effect of charged particles leads to rich interactions between concentration, electrostatic potential,…

Materials Science · Physics 2007-05-23 J. E. Guyer , W. J. Boettinger , J. A. Warren , G. B. McFadden

Battery interfaces critically influence lithium-metal battery performance through their role in ion diffusion and dendrite formation. However, structural characterization of these interfaces has remained challenging due to limitations in…

Materials Science · Physics 2025-05-08 Hyeongjun Koh , Eric Detsi , Eric A. Stach

Renewable energy is critical for combating climate change, whose first step is the storage of electricity generated from renewable energy sources. Li-ion batteries are a popular kind of storage units. Their continuous usage through…

Methodology · Statistics 2024-11-05 Youngjin Cho , Quyen Do , Pang Du , Yili Hong

In recent years, researchers have increasingly sought batteries as an efficient and cost-effective solution for energy storage and supply, owing to their high energy density, low cost, and environmental resilience. However, the issue of…

Computational Physics · Physics 2025-03-04 Zirui Zhao , Junchao Xia , Si Wu , Xiaoke Wang , Guanping Xu , Yinghao Zhu , Jing Sun , Hai-Feng Li

We present a sensitive characterization method to image the microstructure of lithium deposits in lithium-ion battery components by Conduction Electron Paramagnetic Resonance Imaging (CEPRI). The versatility of the method is demonstrated…

Chemical Physics · Physics 2018-02-02 Arvid Niemöller , Peter Jakes , Rüdiger-A. Eichel , Josef Granwehr

Beyond active material intrinsic properties, the electrode manufacturing process is a crucial step to reach high energy density and long-life of Li-ion batteries. In particular, very high pressures are applied to the electrode during the…

Materials Science · Physics 2026-02-19 Pierrick Guichard , Benoit Mathieu , Eric Woillez

We develop a continuum phase-field model for the simulation of diffusion limited solid-solid phase transformations during lithium insertion in LiFePO4-nano-particles. The solid-solid phase boundary between the LiFePO4 (LFP)-phase and the…

Materials Science · Physics 2018-07-20 Michael Fleck , Holger Federmann , Evgeny Pogorelov

We reformulate and extend porous electrode theory for non-ideal active materials, including those capable of phase transformations. Using principles of non-equilibrium thermodynamics, we relate the cell voltage, ionic fluxes, and Faradaic…

Chemical Physics · Physics 2012-08-24 Todd R. Ferguson , Martin Z. Bazant

The demand for lithium ion batteries (LIBs) on the market has gradually risen, with production increasing every year. To meet industrial needs, the development of digital twins designed to optimize LIB manufacturing processes is essential.…

Compact solid discharge products enable energy storage devices with high gravimetric and volumetric energy densities, but solid deposits on active surfaces can disturb charge transport and induce mechanical stress. In this Letter we develop…

Chemical Physics · Physics 2013-07-26 B. Horstmann , B. Gallant , R. Mitchell , W. G. Bessler , Y. Shao-Horn , M. Z. Bazant

Electrode particle cracking is one of the main phenomena driving battery capacity degradation. Recent phase field fracture studies have investigated particle cracking behaviour. However, only the beginning of life has been considered and…

Chemical Physics · Physics 2022-06-28 W. Ai , B. Wu , E. Martínez-Pañeda

This paper presents a novel diffuse-interface electrochemical model that simultaneously simulates the evolution of the metallic negative electrode and interfacial voids during the stripping and plating processes in solid-state batteries.…

Materials Science · Physics 2024-12-24 Sourav Chatterjee , Michael Tonks , William Gardner , Marina Sessim

Next-generation lithium-ion batteries with silicon anodes have positive characteristics due to higher energy densities compared to state-of-the-art graphite anodes. However, the large volume expansion of silicon anodes can cause high…

Numerical Analysis · Mathematics 2024-04-03 R. Schoof , G. F. Castelli , W. Dörfler